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dc.contributor.authorRajala, Tapio
dc.contributor.authorVilppolainen, Markku
dc.date.accessioned2019-03-18T06:46:55Z
dc.date.available2019-03-18T06:46:55Z
dc.date.issued2011
dc.identifier.citationRajala, T., & Vilppolainen, M. (2011). Weakly controlled Moran constructions and iterated functions systems in metric spaces. <i>Illinois Journal of Mathematics</i>, <i>55</i>(3), 1015-1051. <a href="https://doi.org/10.1215/ijm/1369841795" target="_blank">https://doi.org/10.1215/ijm/1369841795</a>
dc.identifier.otherCONVID_22472243
dc.identifier.otherTUTKAID_56966
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/63155
dc.description.abstractWe study the Hausdorff measures of limit sets of weakly controlled Moran constructions in metric spaces. The separation of the construction pieces is closely related to the Hausdorff measure of the corresponding limit set. In particular, we investigate different separation conditions for semiconformal iterated function systems. Our work generalizes well-known results on self-similar sets in metric spaces as well as results on controlled Moran constructions in Euclidean spaces.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherUniversity of Illinois
dc.relation.ispartofseriesIllinois Journal of Mathematics
dc.relation.urihttp://projecteuclid.org/euclid.ijm/1369841795
dc.rightsIn Copyright
dc.subject.otherMoran-konstruktio
dc.subject.othersemikonforminen iteroitu funktiojärjestelmä
dc.subject.otheräärellinen pakkautuminen
dc.subject.otherpalloehto
dc.subject.otheravoimen joukon ehto
dc.subject.otherHausdorffin mitta
dc.subject.otherHausdorff-ulottuvuus
dc.subject.otherMoran construction
dc.subject.othersemiconformal iterated function system
dc.subject.otherfinite clustering property
dc.subject.otherball condition
dc.subject.otheropen set condition
dc.subject.otherHausdorff measure
dc.subject.otherHausdorff dimension
dc.titleWeakly controlled Moran constructions and iterated functions systems in metric spaces
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201903071769
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2019-03-07T07:15:28Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1015-1051
dc.relation.issn0019-2082
dc.relation.numberinseries3
dc.relation.volume55
dc.type.versionpublishedVersion
dc.rights.copyright© 2013 University of Illinois
dc.rights.accesslevelopenAccessfi
dc.format.contentfulltext
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1215/ijm/1369841795


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